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Optimal two-sided tests for instrumental variables regression with heteroskedastic and autocorrelated errors

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  • Moreira, Humberto
  • Moreira, Marcelo J.

Abstract

This paper considers two-sided tests for the parameter of an endogenous variable in an instrumental variable (IV) model with heteroskedastic and autocorrelated errors. We develop the finite-sample theory of weighted-average power (WAP) tests with normal errors and a known long-run variance. A typical weight choice yields tests with power near zero for parts of the parameter space.

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  • Moreira, Humberto & Moreira, Marcelo J., 2019. "Optimal two-sided tests for instrumental variables regression with heteroskedastic and autocorrelated errors," Journal of Econometrics, Elsevier, vol. 213(2), pages 398-433.
    • Handle: RePEc:eee:econom:v:213:y:2019:i:2:p:398-433
    DOI: 10.1016/j.jeconom.2019.04.038
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    Cited by:

    1. Sreevidya Ayyar & Yukitoshi Matsushita & Taisuke Otsu, 2022. "Conditional likelihood ratio test with many weak instruments," STICERD - Econometrics Paper Series 624, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Dennis Lim & Wenjie Wang & Yichong Zhang, 2022. "A Conditional Linear Combination Test with Many Weak Instruments," Papers 2207.11137, arXiv.org, revised Apr 2023.
    3. David S. Lee & Justin McCrary & Marcelo J. Moreira & Jack Porter, 2022. "Valid t-Ratio Inference for IV," American Economic Review, American Economic Association, vol. 112(10), pages 3260-3290, October.
    4. Michael Keane & Timothy Neal, 2021. "Robust Inference for the Frisch Labor Supply Elasticity," Discussion Papers 2021-07b, School of Economics, The University of New South Wales.
    5. Marcelo Moreira & Geert Ridder, 2019. "Efficiency loss of asymptotically efficient tests in an instrumental variables regression," CeMMAP working papers CWP03/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    6. Antoine, Bertille & Lavergne, Pascal, 2023. "Identification-robust nonparametric inference in a linear IV model," Journal of Econometrics, Elsevier, vol. 235(1), pages 1-24.
    7. Wang, Wenjie & Zhang, Yichong, 2024. "Wild bootstrap inference for instrumental variables regressions with weak and few clusters," Journal of Econometrics, Elsevier, vol. 241(1).
    8. Andrew E Clark & Rong Zhu, 2024. "Taking Back Control? Quasi-Experimental Evidence on the Impact of Retirement on Locus of Control," The Economic Journal, Royal Economic Society, vol. 134(660), pages 1465-1493.
    9. Yukun Ma, 2023. "Identification-robust inference for the LATE with high-dimensional covariates," Papers 2302.09756, arXiv.org, revised Nov 2023.
    10. Crawford, Gregory S. & Deer, Lachlan & Smith, Jeremy & Sturgeon, Paul, 2017. "The Regulation of Public Service Broadcasters : Should there be more advertising on television?," Economic Research Papers 269092, University of Warwick - Department of Economics.
    11. Matsushita, Yukitoshi & Otsu, Taisuke, 2024. "A jackknife Lagrange multiplier test with many weak instruments," LSE Research Online Documents on Economics 116392, London School of Economics and Political Science, LSE Library.
    12. Wenjie Wang & Yichong Zhang, 2021. "Wild Bootstrap for Instrumental Variables Regressions with Weak and Few Clusters," Papers 2108.13707, arXiv.org, revised Jan 2024.
    13. Lim, Dennis & Wang, Wenjie & Zhang, Yichong, 2024. "A conditional linear combination test with many weak instruments," Journal of Econometrics, Elsevier, vol. 238(2).
    14. Van de Sijpe, Nicolas & Windmeijer, Frank, 2023. "On the power of the conditional likelihood ratio and related tests for weak-instrument robust inference," Journal of Econometrics, Elsevier, vol. 235(1), pages 82-104.
    15. Keane, Michael & Neal, Timothy, 2023. "Instrument strength in IV estimation and inference: A guide to theory and practice," Journal of Econometrics, Elsevier, vol. 235(2), pages 1625-1653.
    16. Bertille Antoine & Pascal Lavergne, 2020. "Identification-Robust Nonparametric Interference in a Linear IV Model," Discussion Papers dp20-03, Department of Economics, Simon Fraser University.
    17. Sheng Wang & Hyunseung Kang, 2022. "Weak‐instrument robust tests in two‐sample summary‐data Mendelian randomization," Biometrics, The International Biometric Society, vol. 78(4), pages 1699-1713, December.
    18. Sreevidya Ayyar & Yukitoshi Matsushita & Taisuke Otsu, 2022. "Conditional Likelihood Ratio Test with Many Weak Instruments," Papers 2210.07680, arXiv.org.
    19. Purevdorj Tuvaandorj, 2021. "Robust Permutation Tests in Linear Instrumental Variables Regression," Papers 2111.13774, arXiv.org, revised Jul 2024.
    20. Wang, Wenjie, 2021. "Wild Bootstrap for Instrumental Variables Regression with Weak Instruments and Few Clusters," MPRA Paper 106227, University Library of Munich, Germany.
    21. Silva, Felipe Bastos Gurgel, 2021. "Fiscal Deficits, Bank Credit Risk, and Loan-Loss Provisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 56(5), pages 1537-1589, August.
    22. Isaiah Andrews & Anna Mikusheva, 2022. "Optimal Decision Rules for Weak GMM," Econometrica, Econometric Society, vol. 90(2), pages 715-748, March.

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    More about this item

    Keywords

    Instrumental variables regression; Invariant tests; Optimal tests; Similar tests; Unbiased tests; Weak instruments;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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